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y = -3/2x + 7/2gradient = -3/2gradient of perpendicular = 2/3y = 2/3x + csub in given values of x and y to find cy = 2/3x + 2sub in a and b, so:b = 2/3a + 2

to start, find value of money shared by managers and then staff:Managers: (40/100) x 2100 = 840 Staff: 2100 - 840 = 1260 Then find share for each employee:Staff: 1260/7 = 180Share if divided equally: 2100...

This is a quadratic equation. Its factorises to give: (x-2)(x+3)=0. Therefore there are two different solutions of this equation: x_{1}=2 and x_{2}=-3.

1 tonne is equal to 1,000kg, so we get 8.5 tonnes ≡8.5×1,000= 8,500kg

3x(x+2)-7=2 3x^{2}+6x-7=2 3x^{2}+6x-9=0 3(x^{2}+2x-3)=0 [Divide by 3] (x^{2}+2x-3)=0 (x+3)(x-1)=0 x= -3 x=1

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